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Finding the Third Proportional to 120,836 and 259,174

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Solution

The third proportional to 120,836 and 259,174 is: 555,887.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,836 : 259,174 = 259,174 : x
  2. Step 2: Convert to fraction form
    120,836/259,174 = 259,174/x
  3. Step 3: Cross multiply
    120,836x = 259,174 × 259,174
  4. Step 4: Simplify right side
    120,836x = 67,171,162,276
  5. Step 5: Solve for x
    x = 67,171,162,276/120,836
  6. Step 6: Final answer
    x = 555,887.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.